Algebra Examples

$\frac{6 x}{7} + 4 - x$

Step 1

To write $- x$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{6 x}{7} - x \cdot \frac{7}{7} + 4$

Step 2

Simplify terms.

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Step 2.1

Combine $- x$ and $\frac{7}{7}$ .

$\frac{6 x}{7} + \frac{- x \cdot 7}{7} + 4$

Step 2.2

Combine the numerators over the common denominator.

$\frac{6 x - x \cdot 7}{7} + 4$

Step 3

Simplify each term.

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Step 3.1

Simplify the numerator.

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Step 3.1.1

Factor $x$ out of $6 x - x \cdot 7$ .

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Step 3.1.1.1

Factor $x$ out of $6 x$ .

$\frac{x \cdot 6 - x \cdot 7}{7} + 4$

Step 3.1.1.2

Factor $x$ out of $- x \cdot 7$ .

$\frac{x \cdot 6 + x (- 1 \cdot 7)}{7} + 4$

Step 3.1.1.3

Factor $x$ out of $x \cdot 6 + x (- 1 \cdot 7)$ .

$\frac{x (6 - 1 \cdot 7)}{7} + 4$

Step 3.1.2

Multiply $- 1$ by $7$ .

$\frac{x (6 - 7)}{7} + 4$

Step 3.1.3

Subtract $7$ from $6$ .

$\frac{x \cdot - 1}{7} + 4$

Step 3.2

Move $- 1$ to the left of $x$ .

$\frac{- 1 \cdot x}{7} + 4$

Step 3.3

Move the negative in front of the fraction.

$- \frac{x}{7} + 4$